Title of article :
Global existence for the higher-order Camassa–Holm shallow water equation
Original Research Article
Author/Authors :
Lixin Tian، نويسنده , , Hui-pin Zhang، نويسنده , , Limeng Xia، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Abstract :
In this paper, we investigate the global existence of the higher-order Camassa–Holm equation in the case of k=2k=2. We prove the local well-posedness of this equation and find a conservation law. Then a global existence result is obtained.
Keywords :
Higher-order Camassa–Holm , Local well-posedness , Conservation law , Global existence
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications